Graph Theory In America
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Author |
: Robin Wilson |
Publisher |
: Princeton University Press |
Total Pages |
: 320 |
Release |
: 2023-01-17 |
ISBN-10 |
: 9780691194028 |
ISBN-13 |
: 0691194025 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Graph Theory in America by : Robin Wilson
How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University of Illinois. Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their entire careers working on problems in graph theory, a few such as Hassler Whitney started there and then moved to work in other areas. Others, such as C. S. Peirce, Oswald Veblen, and George Birkhoff, made excursions into graph theory while continuing their focus elsewhere. Between the main chapters, the book provides short contextual interludes, describing how the American university system developed and how graph theory was progressing in Europe. Brief summaries of specific publications that influenced the subject’s development are also included. Graph Theory in America tells how a remarkable area of mathematics landed on American soil, took root, and flourished.
Author |
: Norman Biggs |
Publisher |
: Oxford University Press |
Total Pages |
: 260 |
Release |
: 1986 |
ISBN-10 |
: 0198539169 |
ISBN-13 |
: 9780198539162 |
Rating |
: 4/5 (69 Downloads) |
Synopsis Graph Theory, 1736-1936 by : Norman Biggs
First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.
Author |
: Arthur Benjamin |
Publisher |
: Princeton University Press |
Total Pages |
: 338 |
Release |
: 2017-06-06 |
ISBN-10 |
: 9780691175638 |
ISBN-13 |
: 0691175632 |
Rating |
: 4/5 (38 Downloads) |
Synopsis The Fascinating World of Graph Theory by : Arthur Benjamin
The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.
Author |
: Allan Bickle |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 336 |
Release |
: 2020-03-10 |
ISBN-10 |
: 9781470453428 |
ISBN-13 |
: 1470453428 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Fundamentals of Graph Theory by : Allan Bickle
Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.
Author |
: Fred S. Roberts |
Publisher |
: SIAM |
Total Pages |
: 123 |
Release |
: 1978-01-01 |
ISBN-10 |
: 9780898710267 |
ISBN-13 |
: 089871026X |
Rating |
: 4/5 (67 Downloads) |
Synopsis Graph Theory and Its Applications to Problems of Society by : Fred S. Roberts
Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.
Author |
: W.D. Wallis |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 266 |
Release |
: 2010-05-05 |
ISBN-10 |
: 9780817645809 |
ISBN-13 |
: 0817645802 |
Rating |
: 4/5 (09 Downloads) |
Synopsis A Beginner's Guide to Graph Theory by : W.D. Wallis
Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use
Author |
: Dieter Jungnickel |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 597 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9783662038222 |
ISBN-13 |
: 3662038226 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Graphs, Networks and Algorithms by : Dieter Jungnickel
Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed
Author |
: Daniel A. Marcus |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 205 |
Release |
: 2020-02-04 |
ISBN-10 |
: 9781470451844 |
ISBN-13 |
: 1470451840 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Graph Theory by : Daniel A. Marcus
Graph Theory presents a natural, reader-friendly way to learn some of the essential ideas of graph theory starting from first principles. The format is similar to the companion text, Combinatorics: A Problem Oriented Approach also by Daniel A. Marcus, in that it combines the features of a textbook with those of a problem workbook. The material is presented through a series of approximately 360 strategically placed problems with connecting text. This is supplemented by 280 additional problems that are intended to be used as homework assignments. Concepts of graph theory are introduced, developed, and reinforced by working through leading questions posed in the problems. This problem-oriented format is intended to promote active involvement by the reader while always providing clear direction. This approach figures prominently on the presentation of proofs, which become more frequent and elaborate as the book progresses. Arguments are arranged in digestible chunks and always appear along with concrete examples to keep the readers firmly grounded in their motivation. Spanning tree algorithms, Euler paths, Hamilton paths and cycles, planar graphs, independence and covering, connections and obstructions, and vertex and edge colorings make up the core of the book. Hall's Theorem, the Konig-Egervary Theorem, Dilworth's Theorem and the Hungarian algorithm to the optional assignment problem, matrices, and latin squares are also explored.
Author |
: Nora Hartsfield |
Publisher |
: Courier Corporation |
Total Pages |
: 276 |
Release |
: 2013-04-15 |
ISBN-10 |
: 9780486315522 |
ISBN-13 |
: 0486315525 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Pearls in Graph Theory by : Nora Hartsfield
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.
Author |
: Robin Wilson |
Publisher |
: Princeton University Press |
Total Pages |
: 321 |
Release |
: 2023-01-17 |
ISBN-10 |
: 9780691240657 |
ISBN-13 |
: 0691240655 |
Rating |
: 4/5 (57 Downloads) |
Synopsis Graph Theory in America by : Robin Wilson
How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University of Illinois. Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their entire careers working on problems in graph theory, a few such as Hassler Whitney started there and then moved to work in other areas. Others, such as C. S. Peirce, Oswald Veblen, and George Birkhoff, made excursions into graph theory while continuing their focus elsewhere. Between the main chapters, the book provides short contextual interludes, describing how the American university system developed and how graph theory was progressing in Europe. Brief summaries of specific publications that influenced the subject’s development are also included. Graph Theory in America tells how a remarkable area of mathematics landed on American soil, took root, and flourished.